Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 2007:30 AM PST
-08:30 AM PST
Learn what truly sets the UC Riverside MBA apart and how it helps in your professional growth
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
05 Dec 2008, 20:31
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
76% (02:19) correct
24%
(02:15)
wrong
based on 1343
sessions
History
Date
Time
Result
Not Attempted Yet
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000
The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000
The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000
24 Jul 2011, 21:25
Kudos
Bookmarks
snowbirdskier
There are 5 values given to us and their median is 330 (Let's ignore the extra 0s). What does that mean?
Say there is a list of numbers: 4, 6, 9, 12, 35
How do you get the median? It is the middle value in case you have odd number of values in increasing/decreasing order. It doesn't matter what the other values are. Median is equal to the value right in the middle.
If median of a list of 5 values is 330, it means that 330 must be one of the 5 values. 2 values must be greater than 330 and 2 must be smaller than 330.
Let me arrange the given list in decreasing order:
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000
680, 450, 360, 210, 190
I cannot touch the other 3 values (Just the red ones (Ann's and Cal's)). Since 680 and 360 remain and are greater than 330, so my actual list should look something like this:
680, 360, 330, ....., ..... (210 occupies one of these blanks)
The question now is: To whom does this 330 belong?
If Ann's sales decreases from 450 to 330, Cal's sale should increase by 120 (= 450 - 330) i.e. Cal's actual sales should be 190 + 120 = 310.
The list becomes: 680, 360, 330, 310, 210 - satisfies everything. The value of the incorrectly recorded sales must have been $120,000.
Could 330 belong to Cal? Then Cal's sales would have increased by 330 - 190 = 140
Ann's sales would have decreased by 140 to get her actual sales of 310. But it is given that Ann's sales remains higher than Cal's. Hence this is not possible.
01 Feb 2012, 10:43
Kudos
Bookmarks
Ann $450,000
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000
The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000
Old sales: {Cal=190, 210, 360, Ann=450, 680}.
Now, the median of a set with odd # of terms is just the middle term (when ordered in ascending /descending order). So, old median=360.
We know that new median=330 and Cal's sales are still less than Ann's, hence Ann's new sales must be 330 (Ann's sales # must be reduced so that it becomes the middle term: 360 and Ann must switch places): {210, Cal, Ann=330, 360, 680}.
The value of the incorrectly recorded sale is Ann's old sales - Ann's new sales = 450 - 330 = 120.
Answer: D.
Hope it's clear.
Bob $360,000
Cal $190,000
Dot $210,000
Ed $680,000
The table above shows the total sales recorded in July for the 5 salespeople at Acme Truck Sales. It was discovered that one of Cal's sales was incorrectly recorded as one of Ann's sales. After this error was corrected, Ann's total sales were still higher than Cal's total sales, and the median of the 5 sales totals was $330,000. What was the value of the incorrectly recorded sale?
A. $30,000
B. $48,000
C. $90,000
D. $120,000
E. $140,000
Old sales: {Cal=190, 210, 360, Ann=450, 680}.
Now, the median of a set with odd # of terms is just the middle term (when ordered in ascending /descending order). So, old median=360.
We know that new median=330 and Cal's sales are still less than Ann's, hence Ann's new sales must be 330 (Ann's sales # must be reduced so that it becomes the middle term: 360 and Ann must switch places): {210, Cal, Ann=330, 360, 680}.
The value of the incorrectly recorded sale is Ann's old sales - Ann's new sales = 450 - 330 = 120.
Answer: D.
Hope it's clear.
